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Finding the Third Proportional to 428,756 and 914,467

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Solution

The third proportional to 428,756 and 914,467 is: 1,950,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,756 : 914,467 = 914,467 : x
  2. Step 2: Convert to fraction form
    428,756/914,467 = 914,467/x
  3. Step 3: Cross multiply
    428,756x = 914,467 × 914,467
  4. Step 4: Simplify right side
    428,756x = 836,249,894,089
  5. Step 5: Solve for x
    x = 836,249,894,089/428,756
  6. Step 6: Final answer
    x = 1,950,409.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.